GATE 2025 PI – Question 25

General Engineering · Applied Mechanics · 1 mark · Multiple choice

A simply supported beam AB of span L has an applied moment M at C, distance a from A, as shown. Find the magnitude of reaction at A.

$M/L$
$M/a$
$M/(L-a)$
$M/(L+a)$

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Show answer and explanation

Correct answer: (A) $M/L$

Explanation

With no applied transverse force, reactions have equal magnitudes and opposite directions. Their couple must balance M, so $|R_A|L=M$, giving **|R_A| = M/L, A**, independent of a.

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